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Finding the Fourth Proportional to 908.13, 1,253.23 and 509.88

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Solution

The fourth proportional to 908.13, 1,253.23 and 509.88 is: 703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.13 : 1,253.23 = 509.88 : x
  2. Step 2: Convert to fraction form
    908.13/1,253.23 = 509.88/x
  3. Step 3: Cross multiply
    908.13x = 1,253.23 × 509.88
  4. Step 4: Simplify right side
    908.13x = 638,996.91
  5. Step 5: Solve for x
    x = 638,996.91/908.13
  6. Step 6: Final answer
    x = 703.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.